Finding the Third Proportional to 766.75 and 1,085.88

Step by Step Solution

1. Step 1: Write the proportion equation
   766.75 : 1,085.88 = 1,085.88 : x
2. Step 2: Convert to fraction form
   766.75/1,085.88 = 1,085.88/x
3. Step 3: Cross multiply
   766.75x = 1,085.88 × 1,085.88
4. Step 4: Simplify right side
   766.75x = 1,179,124.52
5. Step 5: Solve for x
   x = 1,179,124.52/766.75
6. Step 6: Final answer
   x = 1,537.82